The Faculty of Mathematics and Natural Sciences: Search
Now showing items 11-20 of 80
Optimal transport and geometric analysis in Heisenberg groups
(2009-01-29)
In this thesis we consider the Heisenberg group H_n=R^{2n+1} with its Carnot-Carathéodory distance d_c and the Lebesgue measure L^{2n+1}. In Chapter 1, in relation with the geometric traveling salesman problem in H_1, we ...
On Rho Invariants of Fiber Bundles
(2009-07-21)
Using adiabatic limits of Eta invariants, Rho invariants of the total space of a fiber bundle are investigated. One concern is to formulate the aspects of local index theory for families of Dirac operator in terms of the ...
Bivariant K-theory of groupoids and the noncommutative geometry of limit sets
(2009-07-21)
We present a categorical setting for noncommutative geometry in the sense of Connes. This is done by introducing a notion of morphism for spectral triples. Spectral triples are the unbounded cycles for $K$-homology ...
Tensor Product Multiscale Many-Particle Spaces with Finite-Order Weights for the Electronic Schrödinger Equation
(2009-07-21)
We study tensor product multiscale many-particle spaces with finite-order weights and their application for the electronic Schrödinger equation. Any numerical solution of the electronic Schrödinger equation using conventional ...
Twisted conjugation braidings and link invariants
(2009-08-18)
This work is about link invariants arising from enhanced Yang-Baxter operators. For each enhanced Yang-Baxter operator $\mathcal{R}=(R, D, \lambda, \beta)$ and any braid $Br(n)$ Turaev defined a link invariant $T_{\mathc ...
Reformulation of the Hermitean 1-Matrix Model as an Effective Field Theory
(2009-07-22)
The formal Hermitean 1-matrix model is shown to be equivalent to an effective field theory. The correlation functions and the free energy of the matrix model correspond directly to the correlation functions and the free ...
A Unifying Theory for Nonlinear Additively and Multiplicatively Preconditioned Globalization Strategies: Convergence Results and Examples From the Field of Nonlinear Elastostatics and Elastodynamics
(2009-10-08)
Nonlinear right preconditioned globalization strategies for the solution of nonlinear programming problems of the following kind $u \in \mathcal B \subset \mathbb R^n: J(u) = \min!$ where $\mathcal B$ is a convex set of ...
Hodge classes on self-products of K3 surfaces
(2009-07-03)
This thesis consists of four parts which investigate different aspects of Hodge classes on self-products of K3 surfaces.
In the first three parts we present three different strategies to tackle the Hodge conjecture ...
In the first three parts we present three different strategies to tackle the Hodge conjecture ...
A Multigrid Method for the Efficient Numerical Solution of Optimization Problems Constrained by Partial Differential Equations
(2009-05-25)
We study the minimization of a quadratic functional subject to constraints given by a linear or semilinear elliptic partial differential equation with distributed control. Further, pointwise inequality constraints on the ...
A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces
(2009-07-20)
In this thesis we classify non-simply-connected smooth closed 5- and 7-dimensional orientable manifolds with finite cyclic fundamental group up to diffeomorphism.
The manifolds which we consider admit transitive ...
The manifolds which we consider admit transitive ...